Question

Four football teams used stem-and-leaf plots to keep track of their points in each of their games. Which team can use the mean absolute deviation (MAD) as a good indicator of variation in the number of points scored?

a) Team 1
b) Team 2
c) Team 3
d) Team 4

Answer 1

The Mean Absolute Deviation is an effective measure of variation for the team with the least spread in points scored, as shown by their stem-and-leaf plot. Without the actual stem-and-leaf plots, a specific team cannot be identified.

Step-by-step explanation:

The Mean Absolute Deviation (MAD) is a measure of the variation or dispersion in a set of data points. To determine which football team's points would be best represented by the MAD as a measure of variation, one would have to look at the stem-and-leaf plots for each team to assess the distribution of their points scored across the games. The stem-and-leaf plot that shows a distribution with less spread or closer clustering of data points around the mean is typically the best candidate for using the MAD as it provides a good representation of the average distance each data point is from the mean. Without the actual plots, we cannot specifically choose Team 1, Team 2, Team 3, or Team 4, but we would be looking for the team whose points have the least variability.